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2.04 Practical problems with rational numbers

Interactive practice questions

Consider the following sentence:

$-6$6 is added to the product of $2$2 and $-4$4.


Without simplifying the result, translate this sentence into a mathematical expression.


Evaluate the expression.

Approx 2 minutes
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Consider the following sentence:

The sum of $-8$8 and the quotient of $-40$40 and $4$4

Consider the following phrase:

The quotient of $-3$3 and the sum of $7$7 and $6$6 .

Determine whether the following statements are true or false:



Solve real-world and mathematical problems involving the four operations with rational numbers. Notes: Computations with rational numbers extend the rules for manipulating fractions to complex fractions limited to (a/b)/(c/d) where a, b, c, and d are integers and b, c, and d ≠ 0.


Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate. Assess the reasonableness of answers using mental computation and estimation strategies.

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